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Finding the Fourth Proportional to 100,657.40, 151,277.70 and 98,907.80

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Solution

The fourth proportional to 100,657.40, 151,277.70 and 98,907.80 is: 148,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,657.40 : 151,277.70 = 98,907.80 : x
  2. Step 2: Convert to fraction form
    100,657.40/151,277.70 = 98,907.80/x
  3. Step 3: Cross multiply
    100,657.40x = 151,277.70 × 98,907.80
  4. Step 4: Simplify right side
    100,657.40x = 14,962,544,496.06
  5. Step 5: Solve for x
    x = 14,962,544,496.06/100,657.40
  6. Step 6: Final answer
    x = 148,648.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.